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# Solutions for Chapter 5.4: The Fundamental Theorem of Calculus, Part I

## Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885

Solutions for Chapter 5.4: The Fundamental Theorem of Calculus, Part I

Solutions for Chapter 5.4
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##### ISBN: 9781464114885

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.4: The Fundamental Theorem of Calculus, Part I includes 68 full step-by-step solutions. Since 68 problems in chapter 5.4: The Fundamental Theorem of Calculus, Part I have been answered, more than 41580 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Direction angle of a vector

The angle that the vector makes with the positive x-axis

• Exponential regression

A procedure for fitting an exponential function to a set of data.

• Inverse tangent function

The function y = tan-1 x

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Leibniz notation

The notation dy/dx for the derivative of ƒ.

• Midpoint (in a coordinate plane)

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

• Multiplicative identity for matrices

See Identity matrix

• Negative association

A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

• Partial sums

See Sequence of partial sums.

• Polar equation

An equation in r and ?.

• Position vector of the point (a, b)

The vector <a,b>.

• Product rule of logarithms

ogb 1RS2 = logb R + logb S, R > 0, S > 0,

• Quartic regression

A procedure for fitting a quartic function to a set of data.

The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Reflection

Two points that are symmetric with respect to a lineor a point.

• Semiperimeter of a triangle

One-half of the sum of the lengths of the sides of a triangle.

• Speed

The magnitude of the velocity vector, given by distance/time.

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